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Mekhanik [1.2K]
2 years ago
4

Helena asked five drama club members in her homeroom how many tickets they had sold. The mean number of tickets sold was 16. The

n she took ten random samples from the entire drama club of 75 students. The mean number of tickets sold was 22.5. Compare the means. Is one sample a better representation?
Mathematics
2 answers:
lara31 [8.8K]2 years ago
6 0
The drama club sample comes from a more varied group of students, so it is less likely to be biased or The drama club sample is large enough for inferences.<span>

</span>
daser333 [38]2 years ago
3 0

Number of members chosen by Helena in her homeroom = 5

Mean number of tickets = 16

So, total candidates who had purchased ticket = 16 × 5= 80

Now, number of candidates chosen randomly = 10

So, total candidates who had purchased ticket = 22.5 × 10=225

No, one sample can't be a better representation by choosing randomly a group of members.

In Sample 1 , we are considering only 5 drama numbers.

And In Sample 2, we are considering 10 random samples among 75 members.

The mean in two cases varies by (22.5-16=6.5) which is large because we are considering number of tickets sold by members of club.

It would have been better if she has taken more than 3 random samples of 15  students ,among 75 students, then she would have got appropriate mean or value near the mean.



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